Title: On Cyclic Decomposition of Group (Q2mC2) when m is an Even Number
Authors: Rajaa Hasan Abbas
Volume: 4
Issue: 8
Pages: 174-185
Publication Date: 2020/08/28
Abstract:
The main objective of this paper, is determination of the cyclic decomposition of the abelian factor group AC(G) =(G)/T(G) where G = Q2m×C2 when m is an Even Number (the group of all Z-valued characters of G over the group of induced unit characters from all cyclic subgroups of G). We have found that the cyclic, decomposition AC(Q2m×C2) depends on the elementary divisor of m as follows. if m = 2, h any positive integer, then: AC( Q2m×C2) =